| 单圈共轭图的最小广义Randic指标R-1 |
| |
| 引用本文： | 林启法.单圈共轭图的最小广义Randic指标R-1[J].数学研究,2009,42(2):160-166. |
| |
| 作者姓名： | 林启法 |
| |
| 作者单位： | 宁德师范高等专科学校数学系,福建,宁德,352100 |
| |
| 基金项目： | The project supported by the Science alld Technology Foundation of Education Department of Fujian （JA08266） and the Research Foundation of Ningde Teachers College （2008102） |
| |
| 摘 要： | 图G的广义Randic指标定义为Rα=Rα（G）=∑uv∈E（G）（d（u）d（v））^α，其中d（u）是G的顶点u的度，α是任意实数．本文确定了单圈共轭图的广义Randic指标R-1的严格下界，并刻划了达到最小R-1的极图，这类极图还是化学图．
|
| 关 键 词： | 广义Randic指标 单圈图 完美匹配 |
On the unicyclic conjugated molecules with minimum general Randi(c) index R-1 |
| |
| Lin Qifa.On the unicyclic conjugated molecules with minimum general Randi(c) index R-1[J].Journal of Mathematical Study,2009,42(2):160-166. |
| |
| Authors: | Lin Qifa |
| |
| Institution: | Lin Qifa (Department of Mathematics, Ningde Teachers College, Ningde Fujian 352100) |
| |
| Abstract: | The general Randic index Rα=Rα (G) ors graph is the sum of the weights (d(u)d(v))α of all edges uv of G, where d(u) denotes the degree of the vertex u and α is an arbitrary real number. In this paper, a sharp lower bound on the R-1 for conjugated unicyclic graphs(i.e., unicyclic graphs with a perfect matching) is established and the corresponding extremal graphs are characterized. These graphs are also extremal over all the unicyclic conjugated chemical graphs. |
| |
| Keywords: | general Randic index unicyclic graph perfect matching |
| 本文献已被 维普 万方数据 等数据库收录！ |
